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Finding the Fourth Proportional to 12,294.70, 16,968.21 and 7,513.66

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Solution

The fourth proportional to 12,294.70, 16,968.21 and 7,513.66 is: 10,369.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.70 : 16,968.21 = 7,513.66 : x
  2. Step 2: Convert to fraction form
    12,294.70/16,968.21 = 7,513.66/x
  3. Step 3: Cross multiply
    12,294.70x = 16,968.21 × 7,513.66
  4. Step 4: Simplify right side
    12,294.70x = 127,493,360.75
  5. Step 5: Solve for x
    x = 127,493,360.75/12,294.70
  6. Step 6: Final answer
    x = 10,369.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.